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Exponents and Powers Class 7 MCQs Questions with Answers
Students are advised to solve Exponents and Powers Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Exponents and Powers Class 7 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of Exponents and Powers Class 7 with answers provided with detailed solutions by looking below.
Question 1.
Multiplicative inverse of \(\frac { 1 }{ 7 }\) is
(a) 14
(b) 7
(c) 49
(d) None of these
Answer
Answer: (b) 7
Question 2.
Simplify 2 × 103.
(a) 1000
(b) 2000
(c) 16000
(d) None of these
Answer
Answer: (b) 2000
2 × 10 × 10 × 10 = 2000.
Question 3.
Find 73 ÷ 73.
(a) 76
(b) 79
(c) 70
(d) None of these
Answer
Answer: (c) 70
73-3 = 70
Question 4.
The value of (−1)47 is
(a) -1
(b) 1
(c) 0
(d) None of these
Answer
Answer: (a) -1
Question 5.
Express 72 as a product of powers.
(a) 23 × 32
(b) 33 × 23
(c) 23 + 32
(d) None of these
Answer
Answer: (a) 23 × 32
Prime factors of 72 = 2 × 2 × 2 × 3 × 3 = 23 × 32.
Question 6.
Find the number from the following expanded forms 3 × 104 + 7 × 102 + 5 × 100.
(a) 375
(b) 30705
(c) 3705
(d) None of these
Answer
Answer: (b) 30705
30000 + 700 + 5 = 30705.
Question 7.
The short notation 104 stands for the product.
(a) 10 × 10 × 10 × 10
(b) 4 × 10
(c) 10 + 10 + 10 + 10
(d) None of these
Answer
Answer: (a) 10 × 10 × 10 × 10
10 is multiplied four times.
Question 8.
Simplify 34 ÷ 34.
(a) 30
(b) 311
(c) 328
(d) None of these
Answer
Answer: (a) 30
In division power.
Question 9.
The value of (−1)91 is
(a) 1
(b) 0
(c) -1
(d) None of these
Answer
Answer: (c) -1
Question 10.
The value of (−1)310 is
(a) 1
(b) -1
(c) 0
(d) None of these
Answer
Answer: (a) 1
Question 11.
Express using exponential notation 343.
(a) 37
(b) 73
(c) 7
(d) None of these
Answer
Answer: (b) 73
Prime factors of 343 = 7 × 7 × 7.
Question 12.
Express 729 as a power of 3.
(a) 93
(b) 34
(c) 36
(d) 32
Answer
Answer: (c) 36
Question 13.
In 104, 10 is called :
(a) Base
(b) Power
(c) Exponent
(d) None of these
Answer
Answer: (a) Base
Question 14.
The number which is multiplied by (−8)-1 to obtain a product equal to 10-1 is ____.
(a) \(\frac { -4 }{ 5 }\)
(b) \(\frac { -3 }{ 5 }\)
(c) \(\frac {- 1 }{ 5 }\)
(d) \(\frac { -5 }{ 4 }\)
Answer
Answer: (a) \(\frac { -4 }{ 5 }\)
Question 15.
Express in exponential form 2 × 2 × a × a.
(a) 22. a2
(b) 22. 20
(c) 22 + a2
(d) None of these
Answer
Answer: (a) 22. a2
2 is multiplied two times and also a is multiplied two times.
Question 16.
Simplify 52 ÷ 56.
(a) 5-4
(b) 54
(c) 58
(d) None of these
Answer
Answer: (a) 5-4
As 52-6 = 5-4.
Question 17.
The value of (−1)500 is
(a) 1
(b) -1
(c) 0
(d) None of these
Answer
Answer: (a) 1
Question 18.
Which is greater 23 or 32.
(a) 23
(b) 32
(c) Equal
(d) None of these
Answer
Answer: (b) 32
23 = 2 × 2 × 2 = 8, 32 = 3 × 3 = 9.
Question 19.
Simplify 0 × 122.
(a) 1
(b) 20
(c) 0
(d) None of these
Answer
Answer: (c) 0
0 is multiplied by any number gives result 0.
Question 20.
Find the value of \(\frac{3^{5}}{3^{5}}\)
(a) 1
(b) 0
(c) 3
(d) None of these
Answer
Answer: (a) 1
35-5 = 30 = 1
Question 21.
The value of 110 is ________ .
(a) 3
(b) 11
(c) 1
(d) None of these
Answer
Answer: (c) 1
Question 22.
The exponential form of 100000 is
(a) 103
(b) 104
(c) 105
(d) none of these
Answer
Answer: (c) 105
Question 23.
(-1)3 find value.
(a) 1
(b) -1
(c) -3
(d) None of these
Answer
Answer: (b) -1
Negative sign has odd number exponent.
Question 24.
Simplify 23 × 5.
(a) 30
(b) 40
(c) 20
(d) None of these
Answer
Answer: (b) 40
23 × 5 = 2 × 2 × 2 × 5 = 40.
Question 25.
Find the value of 20 + 30 + 40.
(a) 3
(b) 0
(c) 9
(d) None of these
Answer
Answer: (a) 3
20 + 30 + 40 = 1 + 1 + 1 = 3.
Question 26.
Express 432 as a product of powers of prime factors.
(a) 23×33
(b) 8×27
(c) 16×27
(d) 24×33
Answer
Answer: (d) 24×33
Question 27.
Find the value of 112.
(a) 121
(b) 22
(c) 5.5
(d) None of these
Answer
Answer: (a) 121
11 × 11 = 121.
Question 28.
Simplify a2 × a4.
(a) a8
(b) a6
(c) a2
(d) None of these
Answer
Answer: (b) a6
Powers are added as the base of both numbers is a.
Question 29.
Find the number from the following expanded forms
8 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100.
(a) 86045
(b) 8645
(c) 86450
(d) None of these
Answer
Answer: (a) 86045
8 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100 = 80000 + 6000 + 0 + 40 + 5.
Question 30.
Multiplicative inverse of \(\frac { 1 }{ 5 }\) is
(a) 10
(b) 3
(c) 5
(d) None of these
Answer
Answer: (c) 5
Question 31.
Solve 14.
(a) 1
(b) 4
(c) -1
(d) None of these
Answer
Answer: (a) 1
1 is multiplied four times, i.e. 1 × 1 × 1 × 1.
Question 32.
Solve 22 × 23.
(a) 26
(b) 25
(c) 46
(d) None of these
Answer
Answer: (b) 25
Powers are added if the base are same in case of multiplication.
Question 33.
Solve (30 + 20) × 50.
(a) 2
(b) 0
(c) 5
(d) None of these
Answer
Answer: (a) 2
(1 + 1) x 1 = 2 × 1 = 2.
Question 34.
The value of 70 is ________ .
(a) 7
(b) 21
(c) 1
(d) None of these
Answer
Answer: (c) 1
Question 35.
In 104, 4 is called :
(a) Base
(b) Power
(c) Exponent
(d) None of
Answer
Answer: (c) Exponent
Question 36.
Identify the greater number (i) 43 or 34.
(a) 43
(b) 34
(c) Both are equal
(d) None of these
Answer
Answer: (b) 34
4 × 4 × 4 = 64, and 3 × 3 × 3 × 3 = 81.
Question 37.
512 can be written in exponential form as
(a) 23
(b) 24
(c) 29
(d) 21
Answer
Answer: (c) 29
Question 38.
Find the value of \(\left(2^{3}\right)^{2}\).
(a) 64
(b) 36
(c) 81
(d) None of these
Answer
Answer: (a) 64
23 = 2 × 2 × 2 = 8 and 82 = 8 × 8 = 64.
Question 39.
Solve 20 × 30 × 40.
(a) 1
(b) 24
(c) 0
(d) None of these
Answer
Answer: (a) 1
20 × 30 × 40 = 1 × 1 × 1 = 1.
Question 40.
The value of 28 is
(a) 1024
(b) 256
(c) 512
(d) 128
Answer
Answer: (b) 256
Question 41.
Simplify 0 × 102.
(a) 0
(b) 100
(c) 20
(d) None of these
Answer
Answer: (a) 0
0 is multiplied by any number gives result 0.
Question 42.
Express in exponential form : (2 × 3)5
(a) 30 × 30
(b) 52 × 53
(c) 65
(d) None of these
Answer
Answer: (c) 65
(a × b)x = (ab)x.
Question 43.
Express 432 as a product of powers.
(a) 42 × 33
(b) 24 × 33
(c) 24 + 34
(d) None of these
Answer
Answer: (b) 24 × 33
Prime factor of 432 = 2 × 2 × 2 × 2 × 3 × 3 × 3.
Question 44.
Which is smaller 210 or 102 ?
(a) 210
(b) 102
(c) Both are equal
(d) None of these
Answer
Answer: (b) 102
210 = 1024 and 102 = 100, so 102 is smaller than 210.
Question 45.
Expresses 256 as a power of 2.
(a) 28
(b) 2 × 8
(c) 2 multiplied 8 times
(d) None of these
Answer
Answer: (a) 28
Prime factors of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.
Question 46.
The value of (−1)75 is
(a) 0
(b) 1
(c) -1
(d) None of these
Answer
Answer: (c) -1
Question 47.
The value of (−1)400 is
(a) 1
(b) 0
(c) -1
(d) None of these
Answer
Answer: (a) 1
State whether the given statements are True or False.
Question 1.
10 × 1011 = 10011
Answer
Answer: False
Question 2.
23 > 52
Answer
Answer: False
Question 3.
23 × 32 = 65
Answer
Answer: False
Question 4.
30 = (1000)0
Answer
Answer: True
Match the following :
| 1. 72 | (a) 24 × 33 |
| 2. 1000 | (b) 23 × 32 |
| 3. 432 | (c) 27 × 53 |
| 4. 16000 | (d) 23 × 53 |
Answer
Answer:
| 1. 72 | (b) 23 × 32 |
| 2. 1000 | (d) 23 × 53 |
| 3. 432 | (a) 24 × 33 |
| 4. 16000 | (c) 27 × 53 |
Match the following :
| 1. (2 × 3)5 | (a) (-4)3 × m3 |
| 2. (2a)4 | (b) 25 . 35 |
| 3. (-4m)3 | (c) 24 . a4 |
Answer
Answer:
| 1. (2 × 3)5 | (b) 25 . 35 |
| 2. (2a)4 | (c) 24 . a4 |
| 3. (-4m)3 | (a) (-4)3 × m3 |
Match the following :
| 1. 5985.3 | (a) 2.7 × 105 |
| 2. 65950 | (b) 5.9853 × 103 |
| 3. 3430,000 | (c) 6.595 × 104 |
| 4. 279404 | (d) 3.43 × 106 |
Answer
Answer:
| 1. 5985.3 | (b) 5.9853 × 103 |
| 2. 65950 | (c) 6.595 × 104 |
| 3. 3430,000 | (d) 3.43 × 106 |
| 4. 279404 | (a) 2.7 × 105 |
Fill in the blanks.
1. b2 × b3 = ………..
Answer
Answer: b5
2. am × bm = ………..
Answer
Answer: (ab)m
3. a0 = ………..
Answer
Answer: 1
4. The number 104 is read as ………. raised to the power of ………… .
Answer
Answer: 10, 4
5. (-1)even number = ………..
Answer
Answer: 1
6. c4 ÷ c5 = ………..
Answer
Answer: c-1
7. 104 is called the ………… of 10000.
Answer
Answer: exponential form
8. (-1)odd number = ………..
Answer
Answer: -1
9. c7 ÷ c7 = ………..
Answer
Answer: 1
10. Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its ……….. .
Answer
Answer: standard form
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